Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards.
Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card.
The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen.
What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
a) 8%
b) 4%
c) 33%
d) 77%

Answers

Answer 1

Answer:

c) 33%

Step-by-step explanation:

In a  standard deck of cards, there are 52 cards total and of those 52, there are 12 face cards. One-third of those face cards are queens, (because there are 4 queens in a deck of cards, and [tex]\frac{4}{12}=\frac{1}{3}[/tex]). Therefore, there is a 33% chance that the card Luke holds is a queen.

Answer 2

Answer:

33%

Step-by-step explanation:

Got it right on the test.


Related Questions

Which of the following is an open statement?
A) An angle that measures 40° is an acute angle.
B) An angle that measures 95° is an obtuse angle.
C)
XYZ is an acute angle.
OD) An angle that measures 95° is an acute angle

Answers

Answer:

OD

Step-by-step explanation:

an angle that is more than 90 is considered a acute angles

The correct option for an open statement is:

C) XYZ is an acute angle.

The answer is C.  We don't know if it's true or false.  

Here, we have,

we know that,

An open statement is one that can be true or false depending on the value or condition being discussed.

In this case, the statement "An angle that measures 95° is an acute angle" is an open statement because it can be evaluated as true or false based on the definition of an acute angle.

An acute angle is defined as an angle that measures less than 90 degrees.

Since 95° is greater than 90°, the statement is false.

However, if we were discussing a different angle measure, the statement could be true or false depending on its value.

Options A and B are not open statements because they provide specific angle measures (40° and 95°) and classify them as either acute or obtuse, which can be determined as true or false based on their given measures.

Option C does not provide any specific information or condition,

We don't know if it's true or false.  

The correct option for an open statement is:

C) XYZ is an acute angle.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

a hummingbird egg's mass

Answers

Answer:

A hummingbird eggs mass is approximately 0.374 mg.

Answer:

Hummingbird Nesting Habits. First of all, we must remember that there are about 17 species of hummingbirds found in the US and not all of these different species have the same nesting habits. The most prominent difference lies in their choice of location for the nest (but more on this later), nevertheless there is not much difference in the way they build their nests and tend to their young.

Step-by-step explanation:

give all credit to my brain

What is this? Please answer with an explanation

Answers

Answer:

No

Step-by-step explanation:

Given

f(x) = [tex]\sqrt{x-10}[/tex] + 11 ← substitute x = 1

f(1) = [tex]\sqrt{1-10}[/tex] + 11

     = [tex]\sqrt{-9}[/tex] + 11

[tex]\sqrt{-9}[/tex]  is not real and therefore x = 1 does not have a real output for f(x)


help !! asap
!!!!!!!!!

Answers

First division second multipl

Will give BRAINLIEST

Answers

Answer:

post office, Library, Park, town hall

Step-by-step explanation:

Post office, library, park, town hall

It helps if you draw a number line to visualize it

A line has slope -1. It passes through the point Q(2, -n) and R(4, -3). What is the value of n?
A-5
B 1
C 4
D5​

Answers

Answer:

i need this answer too

Step-by-step explanation:

lol


If P = Set of all triangles, Q = Set of scalene triangles, R = Set of isosceles triangles and
S = Set of equilateral triangles.
State which of the following statements are true or false.
(a) QCР
(b) RCS
(c) SCR

Answers

Given:

P = Set of all triangles,

Q = Set of scalene triangles,

R = Set of isosceles triangles and

S = Set of equilateral triangles.

To find:

Which of the following statements are true or false?

Solution:

We know that,

Scalene triangles : All sides are different.

Isosceles triangles : Two sides are equal.

equilateral triangles : All sides are equal.

Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.

[tex]Q\subset P[/tex]

So, (a) is true.

All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.

[tex]R\nsubseteq S[/tex]

So, (b) is false.

Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .

[tex]S\subset R[/tex]

So, (c) is true.

The function representing Brent's texting per month is f(m) = 117m + 3. What does the 117 represent?

Answers

Answer:

rate of change of rent's texting with respect to the month x

Step-by-step explanation:

This expression is written in the form of equation of a straight line f(x) = mx+c where;

m is the slope of rate of change of the function

c is the y-intercept

On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x

can anyone help me thanks

Answers

Answer:

Option B: 1.3 hours is the correct answer.

Step-by-step explanation:

Given that:

Total distance = 140 miles

Speed on city roads = 35 miles per hour

Time travelled = 1.5 hours

Distance covered on city roads:

[tex]Distance = Speed * Time\\Distance = 35 * 1.5\\Distance = 52.5 miles[/tex]

Distance travelled on highway = Total distance - Distance on city roads

Distance travelled on highway = 140 - 52.5 = 87.5 miles

Speed on highway = 65 miles per hour

Time = [tex]\frac{Distance}{Speed}[/tex]

[tex]Time =\frac{87.5}{65}\\Time = 1.3\ hours[/tex]

Hence,

Option B: 1.3 hours is the correct answer.

what phrase represents this expression x/3

Answers

Answer:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

Step-by-step explanation:

X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS

what is 33.32 divided 9.8 plsssssss helpppppppp

Answers

3.4

Is the answer you are looking for
Your answer would be 3.4


33.32/9.8=3.4

Expand 4(-2y+ 3).
2y+7
0:-8 y + 12
2 y + 12
-8 y+ 3

Answers

It is -8y+12
You have to multiply 4 by -2 which equals -8
Then you do 4x3 which equals 12

What are the solutions of x^2+6x-6=10

Answers

Answer:

ifhofgoefouegf

Step-by-step explanation:

Answers (there are two solutions):

x = -8x = 2

I hope this helps!

what means ratio with explanation​

Answers

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

N is an integer.

Write the values of n such that -15<3n≤6

Answers

Answer:

n = - 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3 )

- 5 < n ≤ 2

Thus  n ≠ - 5 but n can equal the upper limit of 2

Hence

n = - 4, - 3, - 2, - 1, 0 , 1, 2

How many groups of 1/3 inch are in 3/4 inch?

Answers

Answer: There are 2 1/4 groups of 1/3 inch in 3/4 inch.

Step-by-step explanation:

1. Find a common denominator. 3 and 4 are both multiples of 12, so 12 would be the common denominator.

2. Convert each fraction to have the common denominator of 12.

1/3 * 4/4 = 4/12

3/4 * 3/3 = 9/12

3. Divide using the keep, change, flip method.

9/12 * 12/4 = 108/48

108/48 = 2 1/4

A: 30/6 = 6/1
B: 30/45 = 10/15
C: 32/8 = 20/4
Which two fractions are equivalent?

Answers

Step-by-step explanation:

B and A are equal. :) hope I helped!

Answer:

b. 30/45 = 10/15; reduce by 3

Step-by-step explanation:

a. 30/6 = 5 not 6 so no

c. 32/8 = 4. even if you reduced by 2, it would be 16/4 so no

Find the total surface area of this square based pyramid

Answers

Given:

Length of a side of base of a square base pyramid = 6 cm

Height of each triangular surface = 4 cm.

To find:

The total surface area of the square based pyramid.

Solution:

Area of a square with side length a is

[tex]\text{Area of square}=a^2[/tex]

Area of square with side length 6 cm is

[tex]\text{Area of square}=(6)^2[/tex]

[tex]\text{Area of square}=36[/tex]

So, area of square with side length 6 cm is 36 cm².

Area of triangle is

[tex]\text{Area of a triangle}=\dfrac{1}{2}\times base\times height[/tex]

Area of each triangular surface is

[tex]\text{Area of each triangular surface}=\dfrac{1}{2}\times (6)\times (4)[/tex]

[tex]\text{Area of each triangular surface}=12[/tex]

Total area of 4 triangular surfaces is

[tex]\text{Area of 4 triangular surfaces}=4\times 12[/tex]

[tex]\text{Area of 4 triangular surfaces}=48[/tex]

So, area of all triangular surfaces is 48 cm².

Now, total area of pyramid is the sum of base area and area of all triangular sides.

[tex]Area=36+48[/tex]

[tex]Area=84[/tex]

Therefore, the area of given square pyramid is 84 cm².

What is the value of - |-60| ?

Answers

Answer:

-60

Step-by-step explanation:

absolute value cancels the negative

then the negative outside the absolute value makes it negative.

Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2

Answers

Answer:

(D)

Step-by-step explanation:

is the correct because is 1/2

Answer:

C. 1 1/2

Step-by-step explanation:

Please help, it’s math! Give me the answers for 50+ points

Answers

Answer:

1. 0.45

2. 0.30

3. 0.583 with a bar over 3

4. 0.80

5. 0.6 with a bar over 6

6. 0.83 with a bar over 3

7. 0.16 with a bar over 6

8. 0.9375

9. 0.13 with a bar over 3

10. 0.36 with a bar over 36

11. 0.625

12. 0.8125

13. 0.12

14. 0.4 with a bar over 4

15. 0.8 with a bar over 8

16. 0.6875

17. 0.56

18. 0.73 with a bar over 3

which of the following is a proper fraction​

Answers

Answer:

Ummm... You didn't put any pictures or wrote any fractions lol.

Step-by-step explanation:

Have a great day! Thanks!

Answer:

where is the picture????????

A soda pop manufacturer runs a contest and places a winning bottle cap on every sixth bottle. If a person buys the soda pop, find the probability that the person will win for the first time on his third purchase.

Answers

Answer:

[tex]\dfrac{25}{216}[/tex]

Step-by-step explanation:

From the given information:

The probability (p) of winning a bottle cap = [tex]\dfrac{1}{6}[/tex]

The probability of not winning a bottle cap will be (q) = 1 - p

[tex]= 1- \dfrac{1}{6}[/tex]

[tex]= \dfrac{5}{6}[/tex]

Since we are told that the winning is placed once on every sixth bottle

Then the required probability = P( of not winning the first purchase) × P( of not winning the second purchase) × P( of winning the third purchase)

[tex]= \dfrac{5}{6} \times \dfrac{5}{6} \times \dfrac{1}{6}[/tex]

[tex]= \dfrac{25}{216}[/tex]

In 2003, the average combined SAT score (math and verbal) for college-bound students in the United States was 1026. Suppose that approximately 45% of all high school graduates took this test and that 100 high school graduates are randomly selected from among all high school grads in the United States. Which of the following random variables has a distribution that can be approximated by a binomial distribution? Whenever possible, give the values for n and p.
a. The number of students who took the SAT
b. The scores of the 100 students in the sample
c. The number of students in the sample who scored above average on the SAT
d. The amount of time required by each student to complete the SAT
e. The number of female high school grads in the sample

Answers

Answer:

The random variables which has a distribution that can be approximated by a binomial distribution is:

c. The number of students in the sample who scored above average on the SAT.

Step-by-step explanation:

The binomial distribution in this scenario will be between the number of students in the sample who scored below average on the SAT and the number of students who scored above average.  Variables that have a binomial distribution must meet these four conditions:

1: The observed number of students who sat for the SAT 'n' is not variable.  

2: Each student's score (observation) is purely independent of each other, either above or below average scores.  

3: Each student's score (observation) shows one of the two outcomes ("success" or "failure").  Those below average are "failures."  Those above average are "successes."

4: The outcome probability of "success" 'p' for each student is the same.

Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12

Answers

Answer:

i believe is 4

Step-by-step explanation:

If you 2y=-4x+12

need to get the Y by it self

The correct answer is that it has a SLOPE of -2 and a y-intercept of 6 so the answer is #1

NEED HELP ASAP WILL GIVE BRAINLIEST

Answers

Answer:

The answer is option A.

Step-by-step explanation:

If both equations are graphed side by side, will produce same figure.

The two tables below show the amount of tip ,y, included on the bill charging x dollars

Which companies the slopes of the lines created by the tables

Pleas help

Answers

Answer:

B

Step-by-step explanation:

trust

Answer:

B i think???

Step-by-step explanation:

Della bought 3 new dresses for a total cost of $203. The
sales tax was 7.5%. What is the best estimate for the
amount of sales tax?

Answers

Answer:

$15.23

Step-by-step explanation:

16 and 1/3 reciprocal

Answers

Whether you have to combine the two numbers together will be decided by you.

16’s reciprocal would be 0.0625

1/3’s reciprocal would be -3

Hope this helps and hope I am doing this right.

Math Club members are selling games and puzzles. They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.

Answers

Answer:

a) [tex]10x+8y \geq 200[/tex]

b) The members should sell at least 15 puzzles

Step-by-step explanation:

Let x represents selling games

and y represents puzzles

The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.

a) The inequality will be:

[tex]10x+8y \geq 200[/tex]

at least 200 means the profit can be equal to 200 or greater than that.

b) If the members sell 8 games, how many puzzles would they have to sell?

Number of puzzles sold can be solved by solving the inequality [tex]10x+8y \geq 200[/tex]

Put x =8 and find value of y

[tex]10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15[/tex]

So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.

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